Apolo Castaneda

Apolo Castaneda
Center for Research and Advanced Studies of the National Polytechnic Institute | Cinvestav · Departamento de Investigaciones Educativas (Sur)

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15
Publications
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17
Citations

Publications

Publications (15)
Article
Full-text available
Este artículo tiene como propósito identificar las competencias matemáticas que requiere un ciudadano para interpretar la información reportada por la autoridad sanitaria mexicana sobre la evolución de la pandemia del covid-19. Se seleccionaron 59 reportes de salud en formato de video que fueron emitidos entre febrero y abril de 2020. Para su análi...
Article
This paper reports an exploratory study of political factors that may influence the implementation of research knowledge in the formulation of educational reforms and mathematics textbooks in Mexico. The study is based on the analysis of an in-depth interview with a key informant, who has extensive experience as a textbook author and as an advisor...
Article
Full-text available
We report a study on mathematical literacy with special emphasis on health literacy. In particular, we identify and characterize the mathematical competencies that a citizen needs to interpret the official information on the COVID-19 pandemic as experienced in Mexico. To achieve this, we analyze the daily reports on the pandemic issued by the Mexic...
Article
We report on a study focused on identifying how the notion of “the mathematician” is constructed in lower secondary Mexican mathematics textbooks. To conduct the study, we adopted a Foucauldian approach that allows us to identify the way in which the notion of the mathematician is constructed but also to delineate the possible effects that such con...
Article
In traditional education, mathematical problems are usually considered as a way of applying concepts or exercising procedures, however, in this research it was proposed to rethink this approach by introducing other types of problems to the mathematics class to encourage new tasks and reflections. The article reports the implementation of a non-conv...
Article
Full-text available
Drawing on Communities of Practice theory, we use the notions of experience and competence to analyze two of the main training processes that the Online Program for Mathematics Education offers to foster the professional development of mathematics teachers: online courses and dissertation projects. We examine how these two processes promote coordin...
Article
Full-text available
We report on a study focused on identifying and describing the representations of mathematicians contained in Mexican textbooks of lower secondary level. We considered representations not only in the text but also in drawings, photographs, and illustrations in general. The term mathematician was understood in a broad sense: any person (or group of...
Conference Paper
Full-text available
The aim of this paper is to illustrate how the research results generated in the field of mathematics education could be implemented in the design of mathematics textbooks tasks. First we present research findings related to the concept of function, particularly findings related to representation registers and to the conceptualization of function a...
Article
Full-text available
Utilizando el método de clasificación de problemas matemáticos en los libros de texto (Fan y Zhu, 2000) y el de estrategias empleadas en la solución de un problema (Fan y Zhu, 2007), este artículo reporta los resultados del análisis y clasificación del tipo de problemas matemáticos y estrategias de solución en una muestra conformada por los cinco l...
Article
Full-text available
Se presenta avance de una investigación que se realizó con alumnos de primer grado de secundaria, en el que se analizan las justificaciones que ofrecen los estudiantes cuando resuelven ecuaciones de la forma . Se pone especial atención en caracterizar el tránsito entre las ecuaciones de la forma a las de la forma , a las estrategias que construyen...
Article
This study reports the results of the implementation of an experimental design in a high school mathematics classroom (students 12-14 years old) aimed at the construction of triangles, given three segments. Within the experimental design, there is a problem of calculation of area and perimeter where the rupture and establishment of didactical contr...
Article
This study reports the results of the implementation of an experimental design in a high school mathematics classroom (students 12-14 years old) aimed at the construction of triangles, given three segments. Within the experimental design, there is a problem of calculation of area and perimeter where the rupture and establishment of didactical contr...
Article
Starting from the oral registration of a high school Mathematics class in real working conditions, the authors present the analysis of different discursive forms that are used during the institutionalizing process of knowledge, and particularly by describing the functions and effects of the teacher's intervention for the formulation of generalizati...
Conference Paper
Full-text available
Instituto Politécnico Nacional, México Aproximaciones teóricas en matemática educativa Superior Resumen En este escrito se presenta una reflexión sobre lo que es teoría en matemática educativa y cuáles son algunos de sus roles. Esta reflexión está inspirada en nuestra propia experiencia como investigadores en matemática educativa, pero también en l...

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